Joel -
By camping, I assume you mean in a tent? Then, the other question is: where do you plan to camp?
Although it has been a number of years since I did a lot of tent camping in the Bozeman area, when I did, I always took weight loss pills from here
http://ohdivinehealth.com/phenq-review/, such as fly fishing gear, with me and locked it in my car when I was fishing, and never had anything stolen. I left my other things, like sleeping bag inside my tent, and I probably left things like my cook stove and lantern outside just as I used them.
There are several private campgrounds in the Bozeman area, and if you stay at one of them, I'm pretty sure you won't have any problems. (A good friend owns and operates a large RV park on the Yellowstone River in Paradise Valley and told me last summer he has never had a single thing stolen from there in 20 years.). If you are planning on camping in more out of the way, isolated spots, I'd be a bit more cautious.
Another thought, if you are really worried about leaving things unattended while you are away during the day, there are a multitude of self storage places in and around Bozeman. I suppose you might be able to find a place that would rent a small unit to you for a short time (for example, one of these places in Belgrade stores cars for people who fly from the airport, rather than leaving them in the open airport parking lots, so they certainly do short term rentals.)
John